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First-principles calculations of the electronic structure and thermodynamic properties of calcium sulfide (CaS) have been carried out by the plane-wave pseudopotential density functional theory method. The calculated values of lattice constant, elastic modulus and its derivative for CaS under zero pressure and zero temperature, agree well with the experimental data and some of the existing model calculations. The band structure and density of states are discussed in detail. Moreover, the dependences of the volume variation, bulk elastic modulus, thermal expansion coefficient and heat capacity on pressure have been investigated for the first time, so far as we know. It is concluded that under the condition of zero temperature (0 K) and zero pressure (0 GPa), the volume is 44.6 3 when the energy of the crystal unit cell reaches a minimum in the structural model of CaS, which is the most stable system. The energy band of CaS is mainly composed of low band gap, valence band and conduction band, the GV-XC band gap of CaS is 2.435 eV. The DOS results show that the valence band is mainly of Ca 3s and S 3p, while the conduction band is mainly of Ca 4d and a small amount of S 3p. At a certain temperature, the volume change rate, heat capacity and thermal expansion coefficient decrease with rising pressure, and the body elastic modulus B increases simultaneously. In contrast, when the pressure is constant, the volume change rate and body elastic modulus B decrease with the increase of temperature, while the thermal expansion coefficient and heat capacity increase as the temperature rises. When the temperature is higher than a certain value, the heat capacity CV is close to the Dulong-Petit limit, and the effect of temperature on the heat capacity is minimal. Furthermore, under the condition of low pressures, the influence of temperature on thermal expansion coefficient is greater than that of the pressure on it.
[1] Junzhe Z, Chongyu W 2005 Chinese. Sci. Bull. 50 1823
[2] Liu Z L, Cai L C, Chen X R, Jing F Q 2008 Phys. Rev. B 77 024103
[3] Wang H Y, Chen X R, Zhu W J, Cheng Y 2005 Phys. Rev. B 72 172502
[4] Lu L Y, Tan J J, Jia O H, Chen X R 2007 Physica. B 399 66
[5] Zhang S H, Liu F T, Cheng X H 2012 Journal of Yibin University 12 50 (in Chinese) [张淑 华,柳福提,程晓洪 2012 宜宾学院学报 12 50]
[6] Shaukat A, Saeed Y, Ikram N, Akbarzadeh H 2008 The European Physical Journal B 62 439
[7] He J Y, Long Z W, Long C Y, Cai S H 2010 Acta Phys. Sin. 59 1651 (in Chinese) [何建勇, 隆正文, 龙超云, 蔡绍洪 2010 59 1651]
[8] Ponc S, Bertrand B, Smet P F, Poelman D, Mikami M, Gonze X 2013 Opt. Mater. 35 1477
[9] Xiao H P, Zhou J H, Liu J Z, Cao X Y, Fan H Y, Cen K F 2006 Journal of Chemical Engineering of Chinese Universities 20 494 (in Chinese) [肖海平, 周俊虎, 刘建忠, 曹欣 玉, 范红宇, 岑可法 2006 高校化学工程学报 20 494]
[10] Kohn W, Sham L J 1965 Phys. Rev. 140 A1133
[11] Blanco M, Francisco E, Luana V 2004 Comput. Phys. Commun. 158 57
[12] Payne M C, Teter M P, Allan D C, Arias T, Joannopoulos J 1992 Rev. Mod. Phys. 64 1045
[13] Milman V, Winkler B, White J, Pickard C, Payne M, Akhmatskaya E, Nobes R 2000 Int. J. Quantum. Chem. 77 895
[14] Blanco M, Pends A M, Francisco E, Recio J, Franco R 1996 Journal of Molecular Structure: THEOCHEM 368 245
[15] Flrez M, Recio J, Francisco E, Blanco M, Pends A M 2002 Phys. Rev. B 66 144112
[16] Yakel H 1958 Acta. Cryst. 11 46
[17] Murnaghan F 1944 Proceedings of the national academy of sciences of the United States of America 30 244
[18] Cortona P, Masri P 1998 J. Phys.: Condens. Matter 10 8947
[19] Cortona P, Monteleone A V, Becker P 1995 Int. J. Quantum. Chem. 56 831
[20] Verma A 2009 Physica Status Solidi (b) 246 345
[21] Zhang S, Li H, Li H, Zhou S, Cao X 2007 The Journal of Physical Chemistry B 111 1304
[22] Cortona P, Masri P 1998 J. Phys.: Condens. Matters 10 8947
[23] Luo H, Greene R G, Ghandehari K, Li T, Ruoff A L 1994 Phys. Rev. B 50 16232
[24] Wang F, Wu J, Xia C, Hu C, Hu C, Zhou P, Shi L, Ji Y, Zheng Z, Liu X 2014 Journal of Alloys and Compounds 597 50
[25] Cheng Y, Zhang T, Qi Y Y 2014 International Journal of Thermophysics 35 145
[26] Deringer V L, Stoffel R P, Dronskowski R 2014 Crystal Growth Design 14 871
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[1] Junzhe Z, Chongyu W 2005 Chinese. Sci. Bull. 50 1823
[2] Liu Z L, Cai L C, Chen X R, Jing F Q 2008 Phys. Rev. B 77 024103
[3] Wang H Y, Chen X R, Zhu W J, Cheng Y 2005 Phys. Rev. B 72 172502
[4] Lu L Y, Tan J J, Jia O H, Chen X R 2007 Physica. B 399 66
[5] Zhang S H, Liu F T, Cheng X H 2012 Journal of Yibin University 12 50 (in Chinese) [张淑 华,柳福提,程晓洪 2012 宜宾学院学报 12 50]
[6] Shaukat A, Saeed Y, Ikram N, Akbarzadeh H 2008 The European Physical Journal B 62 439
[7] He J Y, Long Z W, Long C Y, Cai S H 2010 Acta Phys. Sin. 59 1651 (in Chinese) [何建勇, 隆正文, 龙超云, 蔡绍洪 2010 59 1651]
[8] Ponc S, Bertrand B, Smet P F, Poelman D, Mikami M, Gonze X 2013 Opt. Mater. 35 1477
[9] Xiao H P, Zhou J H, Liu J Z, Cao X Y, Fan H Y, Cen K F 2006 Journal of Chemical Engineering of Chinese Universities 20 494 (in Chinese) [肖海平, 周俊虎, 刘建忠, 曹欣 玉, 范红宇, 岑可法 2006 高校化学工程学报 20 494]
[10] Kohn W, Sham L J 1965 Phys. Rev. 140 A1133
[11] Blanco M, Francisco E, Luana V 2004 Comput. Phys. Commun. 158 57
[12] Payne M C, Teter M P, Allan D C, Arias T, Joannopoulos J 1992 Rev. Mod. Phys. 64 1045
[13] Milman V, Winkler B, White J, Pickard C, Payne M, Akhmatskaya E, Nobes R 2000 Int. J. Quantum. Chem. 77 895
[14] Blanco M, Pends A M, Francisco E, Recio J, Franco R 1996 Journal of Molecular Structure: THEOCHEM 368 245
[15] Flrez M, Recio J, Francisco E, Blanco M, Pends A M 2002 Phys. Rev. B 66 144112
[16] Yakel H 1958 Acta. Cryst. 11 46
[17] Murnaghan F 1944 Proceedings of the national academy of sciences of the United States of America 30 244
[18] Cortona P, Masri P 1998 J. Phys.: Condens. Matter 10 8947
[19] Cortona P, Monteleone A V, Becker P 1995 Int. J. Quantum. Chem. 56 831
[20] Verma A 2009 Physica Status Solidi (b) 246 345
[21] Zhang S, Li H, Li H, Zhou S, Cao X 2007 The Journal of Physical Chemistry B 111 1304
[22] Cortona P, Masri P 1998 J. Phys.: Condens. Matters 10 8947
[23] Luo H, Greene R G, Ghandehari K, Li T, Ruoff A L 1994 Phys. Rev. B 50 16232
[24] Wang F, Wu J, Xia C, Hu C, Hu C, Zhou P, Shi L, Ji Y, Zheng Z, Liu X 2014 Journal of Alloys and Compounds 597 50
[25] Cheng Y, Zhang T, Qi Y Y 2014 International Journal of Thermophysics 35 145
[26] Deringer V L, Stoffel R P, Dronskowski R 2014 Crystal Growth Design 14 871
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